Size and momentum of an infalling particle in the black hole interior

A bstract The future interior of black holes in AdS/CFT can be described terms a quantum circuit. We investigate boundary quantities detecting properties this discuss relations between operator size, complexity, and the momentum an infalling particle hole interior. argue that trajectory close to horizon is related growth size. notion size here differs slightly from which has previously been exterior particles provides interesting generalization. fact both are manifestation complementarity.